Sr Examen

sinx+tgx=sin2x la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(x) + tan(x) = sin(2*x)
$$\sin{\left(x \right)} + \tan{\left(x \right)} = \sin{\left(2 x \right)}$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -4*pi
x2 = -----
       3  
$$x_{2} = - \frac{4 \pi}{3}$$
x3 = -pi
$$x_{3} = - \pi$$
     -2*pi
x4 = -----
       3  
$$x_{4} = - \frac{2 \pi}{3}$$
     2*pi
x5 = ----
      3  
$$x_{5} = \frac{2 \pi}{3}$$
x6 = pi
$$x_{6} = \pi$$
     4*pi
x7 = ----
      3  
$$x_{7} = \frac{4 \pi}{3}$$
x8 = 2*pi
$$x_{8} = 2 \pi$$
x8 = 2*pi
Suma y producto de raíces [src]
suma
  4*pi        2*pi   2*pi        4*pi       
- ---- - pi - ---- + ---- + pi + ---- + 2*pi
   3           3      3           3         
$$\left(\left(\left(\left(\left(- \frac{4 \pi}{3} - \pi\right) - \frac{2 \pi}{3}\right) + \frac{2 \pi}{3}\right) + \pi\right) + \frac{4 \pi}{3}\right) + 2 \pi$$
=
2*pi
$$2 \pi$$
producto
  -4*pi       -2*pi 2*pi    4*pi     
0*-----*(-pi)*-----*----*pi*----*2*pi
    3           3    3       3       
$$2 \pi \frac{4 \pi}{3} \pi \frac{2 \pi}{3} \cdot - \frac{2 \pi}{3} \cdot - \pi 0 \left(- \frac{4 \pi}{3}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 12.5662974715217
x2 = -97.3893722612836
x3 = -75.3983042200839
x4 = -85.870199198121
x5 = -72.2566310325652
x6 = 100.530899251714
x7 = 46.0766922526503
x8 = -59.6902604182061
x9 = 96.342174710087
x10 = 9.42477796076938
x11 = 94.2477801894835
x12 = 84.8230016469244
x13 = -31.4160033843292
x14 = -2.0943951023932
x15 = 87.9646063227249
x16 = -21.9911485751286
x17 = -96.342174710087
x18 = 41.8879020478639
x19 = -92.1533845053006
x20 = 28.2743338823081
x21 = 43.9823032544873
x22 = -28.2743338823081
x23 = -29.3215314335047
x24 = -65.9734457253857
x25 = 81.681492580091
x26 = -6.28310944449968
x27 = 54.4542726622231
x28 = -39.7935069454707
x29 = -46.0766922526503
x30 = 40.8407044966673
x31 = -50.2654105208584
x32 = -90.0589894029074
x33 = -52.3598775598299
x34 = 6.28317667814015
x35 = -53.4070751110265
x36 = 48.1710873550435
x37 = -41.8879020478639
x38 = 21.9911485751286
x39 = 56.5485983494803
x40 = -43.9823032331639
x41 = -79.5870138909414
x42 = 58.6430628670095
x43 = 90.0589894029074
x44 = 85.870199198121
x45 = 8.37758040957278
x46 = 34.5575191894877
x47 = -15.707963267949
x48 = 50.2654784086518
x49 = 65.9734457253857
x50 = -83.7758040957278
x51 = -6.28322282383301
x52 = 59.6902604182061
x53 = -35.6047167406843
x54 = -81.681426542888
x55 = 92.1533845053006
x56 = 4.18879020478639
x57 = -37.6991249749309
x58 = 37.6991915874246
x59 = -75.3981427700933
x60 = 14.6607657167524
x61 = -48.1710873550435
x62 = 78.5398163397448
x63 = -87.9646059792427
x64 = 15.707963267949
x65 = 72.2566310325652
x66 = 52.3598775598299
x67 = -94.2477116475917
x68 = 0.0
x69 = 98.4365698124802
x70 = -9.42477796076938
x71 = 2.0943951023932
x72 = -34.5575191894877
x72 = -34.5575191894877